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Finding the Third Proportional to 767,544 and 1,073,616

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Solution

The third proportional to 767,544 and 1,073,616 is: 1,501,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,544 : 1,073,616 = 1,073,616 : x
  2. Step 2: Convert to fraction form
    767,544/1,073,616 = 1,073,616/x
  3. Step 3: Cross multiply
    767,544x = 1,073,616 × 1,073,616
  4. Step 4: Simplify right side
    767,544x = 1,152,651,315,456
  5. Step 5: Solve for x
    x = 1,152,651,315,456/767,544
  6. Step 6: Final answer
    x = 1,501,739.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.